Application Information (Continued)
ance which would allow the amplifier to provide the desired
output power, keeping in mind the current limiting capabilities of the device. In any case, the output signal swing and
current are found from (where P
O
is the average output
power):
(5)
(6)
To determine the maximum supply voltage the following parameters must be considered. Add the dropout voltage (5V
for LM3876) to the peak output swing, V
opeak
, to get the sup-
ply rail value (i.e.
±
(V
opeak
+ Vod)at a current of I
opeak
). The
regulation of the supply determines the unloaded voltage,
usually about 15%higher. Supply voltage will also rise 10
%
during high line conditions. Therefore, the maximum supply
voltage is obtained from the following equation:
Max. supplies ≈
±
(V
opeak
+ Vod)(1 + regulation)(1.1)(7)
The input sensitivity and the output power specs determine
the minimum required gain as depicted below:
(8)
Normally the gain is set between 20 and 200; for a 40W, 8Ω
audio amplifier this results in a sensitivity of 894 mV and
89 mV, respectively.Although higher gain amplifiers provide
greater output power and dynamic headroom capabilities,
there are certain shortcomings that go along with the so
called “gain.” The input referred noise floor is increased and
hence the SNR is worse. With the increase in gain, there is
also a reduction of the power bandwidth which results in a
decrease in feedback thus not allowing the amplifier to respond quickly enough to nonlinearities. This decreased ability to respond to nonlinearities increases the THD + N specification.
The desired input impedance is set by R
IN
. Very high values
can cause board layout problems and DC offsets at the output. The value for the feedback resistance, R
f1
, should be
chosen to be a relatively large value (10 kΩ–100 kΩ), and
the other feedback resistance, Ri, is calculated using standard op amp configuration gain equations. Most audio amplifiers are designed from the non-inverting amplifier configuration.
DESIGN A 40W/8Ω AUDIO AMPLIFIER
Given:
Power Output 40W
Load Impedance 8Ω
Input Level 1V(max)
Input Impedance 100 kΩ
Bandwidth 20 Hz–20 kHz
±
0.25 dB
Equations (5), (6)
give:
40W/8Ω V
opeak
=
25.3V I
opeak
=
3.16A
Therefore the supply required is:
±
30.3V@3.16A
With 15%regulation and high line the final supply voltage is
±
38.3V using
Equation (7)
. At this point it is a good idea to
check thePower Output vs SupplyVoltage to ensure that the
required output power is obtainable from the device while
maintaining low THD + N. It is also good to check the Power
Dissipation vs Supply Voltage to ensure that the device can
handle the internal power dissipation. At the same time designing in a relatively practical sized heat sink with a low
thermal resistance is also important. Refer to Typical Per-
formance Characteristics graphs and the Thermal Considerations section for more information.
The minimum gain from
Equation (8)
is: AV≥ 18
We select a gain of 21 (Non-Inverting Amplifier); resulting in
a sensitivity of 894 mV.
Letting R
IN
equal 100 kΩ gives the required input impedance, however, this would eliminate the “volume control” unless an additional input impedance was placed in series with
the 10 kΩ potentiometer that is depicted in
Figure 1
. Adding
the additional 100 kΩ resistor would ensure the minumum
required input impedance.
For low DC offsets at the output we let R
f1
=
100 kΩ. Solving
for Ri (Non-Inverting Amplifier) gives the following:
Ri=R
f1
/(AV−1)=100k/(21 − 1)=5kΩ; use 5.1 kΩ
The bandwidth requirement must be stated as a pole, i.e.,
the 3 dB frequency. Five times away from a pole gives
0.17 dB down, which is better than the required 0.25 dB.
Therefore:
f
L
=
20 Hz/5=4Hz
f
H
=
20 kHz x 5=100 kHz
At this point, it is a good idea to ensure that the
Gain-Bandwidth Product for the part will provide the designed gain out to the upper 3 dB point of 100 kHz. This is
why the minimum GBWP of the LM3876 is important.
GBWP ≥ A
V
xf3dB=21 x 100 kHz=2.1 MHz
GBWP=2.0 MHz (min) for the LM3876
Solving for the low frequency roll-off capacitor, Ci, we have:
Ci ≥ 1/(2π Ri f
L
)=7.8 µF; use 10 µF.
Definition of Terms
Input Offset Voltage: The absolute value of the voltage
which must be applied between the input terminals through
two equal resistances to obtain zero output voltage and current.
Input Bias Current: The absolute value of the average of
the two input currents with the output voltage and current at
zero.
Input Offset Current: The absolute value of the difference
in the two input currents with the output voltage and current
at zero.
Input Common-Mode Voltage Range (or Input Voltage
Range): The range of voltages on the input terminals for
which the amplifier is operational. Note that the specifications are not guaranteed over the full common-mode voltage
range unless specifically stated.
Common-Mode Rejection: The ratio of the input
common-mode voltage range to the peak-to-peak change in
input offset voltage over this range.
Power Supply Rejection: The ratio of the change in input
offset voltage to the change in power supply voltages producing it.
Quiescent Supply Current: The current required from the
power supply to operate the amplifier with no load and the
output voltage and current at zero.
Slew Rate: The internally limited rate of change in output
voltage with a large amplitude step function applied to the input.
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